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Fundamentals of Statistics

Develop advanced understanding of statistical inference principles including estimation, hypothesis testing, and prediction in this MIT course.

Develop advanced understanding of statistical inference principles including estimation, hypothesis testing, and prediction in this MIT course.

This advanced statistics course from MIT explores the mathematical foundations behind modern data science and machine learning. Students learn core statistical principles for turning data into insights and decisions. The curriculum covers parametric modeling, estimator construction, hypothesis testing, and asymptotic analysis. Advanced topics include model selection, variable selection in linear regression, nonlinear modeling, and high-dimensional data visualization. The course emphasizes both theoretical understanding and practical applications in data science and artificial intelligence.

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Fundamentals of Statistics

This course includes

17 Weeks

Of Live Classes video lessons

Advanced Level

Completion Certificate

awarded on course completion

25,372

Audit For Free

What you'll learn

  • Master fundamental principles of statistical inference

  • Develop skills in constructing and evaluating estimators

  • Learn advanced techniques for model selection and validation

  • Understand dimension reduction methods like PCA

  • Apply statistical methods to real-world data analysis

Skills you'll gain

statistical inference
machine learning
data science
hypothesis testing
parametric modeling
linear regression
dimension reduction
PCA
estimators
artificial intelligence

This course includes:

PreRecorded video

Graded assignments, Exams

Access on Mobile, Tablet, Desktop

Limited Access access

Shareable certificate

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Module Description

This comprehensive statistics course provides a deep dive into the mathematical principles underlying modern data science and machine learning. The curriculum focuses on developing a strong theoretical foundation in statistical inference, covering topics from basic estimator construction to advanced modeling techniques. Students learn to apply statistical methods for data analysis, model selection, and prediction, while understanding the mathematical principles that connect different statistical approaches. The course bridges theoretical concepts with practical applications in data science and artificial intelligence.

Fee Structure

Instructors

Karene Chu
Karene Chu

25 Courses

MIT's Digital Learning Pioneer and Mathematics Education Innovator

Karene Chu serves as the Assistant Director of Education and Research Scientist at MIT's Institute for Data, Systems, and Society, where she has made significant contributions to digital learning initiatives. After receiving her Ph.D. in mathematics from the University of Toronto in 2012, she completed postdoctoral fellowships at both the University of Toronto/Fields Institute and MIT, specializing in knot theory and quantum invariants. In 2015, she transitioned to become a digital learning lab fellow at MIT, where she has since played a pivotal role in developing and managing the MicroMasters Program in Statistics and Data Science. Her educational impact includes co-authoring the MITx Calculus Series, which became a Top 10 edX course in 2016, and leading the development of a five-course series on differential equations. She is also a key instructor in MIT's Machine Learning with Python course alongside Regina Barzilay and Tommi Jaakkola. Her teaching excellence was first recognized at the University of Toronto, where she received a teaching award for her work in single and multi-variable calculus and linear algebra. As part of MIT's edX group, she collaborated with colleagues to earn the inaugural MITx Prize for Teaching and Learning in MOOCs, demonstrating her commitment to advancing digital education and making complex mathematical concepts accessible to learners worldwide.

From MIT Mathematics to Genentech's AI Innovation

Jan-Christian Hütter has evolved from an MIT Mathematics graduate student to a leading figure in machine learning and statistical research. After completing his Ph.D. at MIT under Philippe Rigollet's supervision in 2019, he served as a postdoctoral researcher in the Regev group at the Broad Institute, where he was co-advised by Caroline Uhler. Currently, he works as a Principal ML Scientist II in the Biology Research | AI Development (BRAID) department at Genentech, where he develops methods for analyzing omics data and large-scale high-content perturbation screens

Fundamentals of Statistics

This course includes

17 Weeks

Of Live Classes video lessons

Advanced Level

Completion Certificate

awarded on course completion

25,372

Audit For Free

Testimonials

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Frequently asked questions

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